Bessel type Kolmogorov inequalities on weighted Lebesgue spaces

ABSTRACT

In this paper, we obtained Bessel type Kolmogorov inequalities for Riesz–Bessel transforms related to generalized shift operator in weighted Lebesgue spaces.

KEYWORDS:

• Weighted Lebesgue spaces
• Laplace-Bessel operator
• generalized shift operator
• Riesz–Bessel transform
• Kolmogorov inequality

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 42B20
• 42B25
• 47B06

Acknowledgments

We thank the referee(s) for careful reading the paper and useful comments.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research of I. Ekincioglu is partially supported by the Dumlupinar University Research Grants BAP. 2017-75.